On Collapse of Uniform Density Sphere with Pressure

ABSTRACT

Adiabatic collapse solutions of uniform density sphere have been discussed by so many authors. An analysis of these solutions has been done by considering the baryonic conservation law and the no heat transfer condition. We have examined whether the pressure can remain finite or not during the collapse.

Adiabatic collapse solutions of uniform density sphere have been discussed by so many authors. An analysis of these solutions has been done by considering the baryonic conservation law and the no heat transfer condition. We have examined whether the pressure can remain finite or not during the collapse.

Cite this paper

nullM. Durgapal and P. Fuloria, "On Collapse of Uniform Density Sphere with Pressure,"*Journal of Modern Physics*, Vol. 1 No. 2, 2010, pp. 143-146. doi: 10.4236/jmp.2010.12020.

nullM. Durgapal and P. Fuloria, "On Collapse of Uniform Density Sphere with Pressure,"

References

[1] W. B. Bonnor and M. C. Faulkes, “Exact Solutions for Oscillating Spheres in General Relativity,” Monthly No-tices of the Royal Astronomical Society, Vol. 137, 1967, pp. 239-251.

[2] I. H. Thompson and G. J. Whitrow, “Time-Dependent Internal Solutions for Spherically Symmetrical Bodies in General Relativity-I. Adiabatic collapse,” Monthly Notices of the Royal Astronomical Society, Vol. 136, 1967, pp. 207-217.

[3] I. H. Thompson and G. J. Whitrow, “Time-dependent internal solutions for spherically symmetrical bodies in general relativity-II. Adiabatic radial motions of uniformly dense spheres,” Monthly Notices of the Royal As-tronomical Society, Vol. 139, 1968, pp. 499-513.

[4] H. Bondi, “Gravitational Bounce in General Relativity,” Monthly Notices of the Royal Astronomical Society, Vol. 142, 1969, pp. 333-353.

[5] R. M. Misra and D. C. Srivastava, “Relativity-Bounce of Fluid Spheres,” Nature Physical Science, Vol. 238, 1972, p. 116.

[6] C. W. Misner and D. H. Sharp,“Relativistic Equations for Adiabatic, Spherically Symmetric Gravitational Collapse,” Physical Review B, Vol. 136, No. 2B, 1964, pp. B571-576.

[7] M. Demianski, “Relativistic Astrophysics,” Pergamon Press, New York, 1985.

[8] D. Kramer, “Spherically Symmetric Radiating Solution with Heat Flow in General Relativity,” Journal of Ma-thematical Physics, Vol. 33, No. 4, 1992, pp. 1458- 1462.

[9] H. Nariai, “A Simple Model for Gravitational Collapse with Pressure Gradient,” Progress of Theoretical physics, Vol. 38, No. 1, 1967, pp. 92-106.

[10] J. R. Oppenheimer and H. Snyder, “On Continued Gravi-tational Contraction,” Physical Review, Vol. 56, No. 5, 1939, pp. 455-459.

[1] W. B. Bonnor and M. C. Faulkes, “Exact Solutions for Oscillating Spheres in General Relativity,” Monthly No-tices of the Royal Astronomical Society, Vol. 137, 1967, pp. 239-251.

[2] I. H. Thompson and G. J. Whitrow, “Time-Dependent Internal Solutions for Spherically Symmetrical Bodies in General Relativity-I. Adiabatic collapse,” Monthly Notices of the Royal Astronomical Society, Vol. 136, 1967, pp. 207-217.

[3] I. H. Thompson and G. J. Whitrow, “Time-dependent internal solutions for spherically symmetrical bodies in general relativity-II. Adiabatic radial motions of uniformly dense spheres,” Monthly Notices of the Royal As-tronomical Society, Vol. 139, 1968, pp. 499-513.

[4] H. Bondi, “Gravitational Bounce in General Relativity,” Monthly Notices of the Royal Astronomical Society, Vol. 142, 1969, pp. 333-353.

[5] R. M. Misra and D. C. Srivastava, “Relativity-Bounce of Fluid Spheres,” Nature Physical Science, Vol. 238, 1972, p. 116.

[6] C. W. Misner and D. H. Sharp,“Relativistic Equations for Adiabatic, Spherically Symmetric Gravitational Collapse,” Physical Review B, Vol. 136, No. 2B, 1964, pp. B571-576.

[7] M. Demianski, “Relativistic Astrophysics,” Pergamon Press, New York, 1985.

[8] D. Kramer, “Spherically Symmetric Radiating Solution with Heat Flow in General Relativity,” Journal of Ma-thematical Physics, Vol. 33, No. 4, 1992, pp. 1458- 1462.

[9] H. Nariai, “A Simple Model for Gravitational Collapse with Pressure Gradient,” Progress of Theoretical physics, Vol. 38, No. 1, 1967, pp. 92-106.

[10] J. R. Oppenheimer and H. Snyder, “On Continued Gravi-tational Contraction,” Physical Review, Vol. 56, No. 5, 1939, pp. 455-459.